Least Common Multiple of 1686 and 1694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1686 and 1694 the smallest integer that is 1428042 that is divisible by both numbers.

Least Common Multiple (LCM) of 1686 and 1694 is 1428042.

LCM(1686,1694) = 1428042

LCM of 1686 and 1694

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1686 and 1694

LCM of 1686 and 1694 is 1428042

Least common multiple can be found by multiplying the highest exponent prime factors of 1686 and 1694. First we will calculate the prime factors of 1686 and 1694.

Prime Factorization of 1686


2 1686
3 843
281 281
1

Prime factors of 1686 are 2, 3,281. Prime factorization of 1686 in exponential form is:

1686 = 21×31×2811

Prime Factorization of 1694


2 1694
7 847
11 121
11 11
1

Prime factors of 1694 are 2, 7,11. Prime factorization of 1694 in exponential form is:

1694 = 21×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1686 and 1694.

LCM(1686,1694) = 21×31×71×112×2811
LCM(1686,1694) = 1428042

Factors of 1686

List of positive integer factors of 1686 that divides 1686 without a remainder.

1, 2, 3, 6, 281, 562, 843, 1686

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694

Least Common Multiple of 1686 and 1694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1686 and 1694, than apply into the LCM equation.

GCF(1686,1694) = 2
LCM(1686,1694) = ( 1686 × 1694) / 2
LCM(1686,1694) = 2856084 / 2
LCM(1686,1694) = 1428042

Properties of LCM 1686 and 1694

(i) The LCM of 1694 and 1686 is associative

LCM of 1686 and 1694 = LCM of 1694 and 1686

Related Least Common Multiples of 1686

Related Least Common Multiples of 1694

Frequently Asked Questions on LCM of 1686 and 1694

1. What is the LCM of 1686 and 1694?

Answer: LCM of 1686 and 1694 is 1428042.

2. What are the Factors of 1686?

Answer: Factors of 1686 are 1, 2, 3, 6, 281, 562, 843, 1686. There are 8 integers that are factors of 1686. The greatest factor of 1686 is 1686.

3. What are the Factors of 1694?

Answer: Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. There are 12 integers that are factors of 1694. The greatest factor of 1694 is 1694.

4. How to Find the LCM of 1686 and 1694?

Answer:

Least Common Multiple of 1686 and 1694 = 1428042

Step 1: Find the prime factorization of 1686

1686 = 2 x 3 x 281

Step 2: Find the prime factorization of 1694

1694 = 2 x 7 x 11 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1428042 = 2 x 3 x 7 x 11 x 11 x 281

Step 4: Therefore, the least common multiple of 1686 and 1694 is 1428042.